# Connected sum of two complex projective planes with same orientation

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## Contents

## Definition

This topological space is defined as the connected sum of two copies of the complex projective plane , where they are glued with the same orientation.

## Algebraic topology

## =Homology groups

The homology groups are as follows:

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### Cohomology groups

The cohomology groups are as follows:

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The cohomology ring is as follows:

### Homotopy groups

The fundamental group is the trivial group.